Q110 / 225 · JEE Main 2002 · Mathematics

The sum of integers from 1 to 100 that are divisible by 2 or 5 is

A
3000
Correct answer
B
3050
C
3600
D
3250

Solution

Required sum $=(2+4+6+\ldots \ldots+100)+(5+10+15+\ldots \ldots+100)-(10+20+\ldots . .+100)$ $=2550+1050-530=3050$

Hence, the correct answer is option: 'B'.

Relevant Questions

Let upto 40 terms. If is a root of the equation , , then is equal to:08 Apr, 2026 (E)Arithmetic Progression
Let the sum of the first terms of an A.P. be . Then the sum of squares of the first terms of the A.P. is:05 Apr, 2026 (M)Arithmetic Progression
Let be arithmetic means between the numbers and . Then the mean of and is equal to :05 Apr, 2026 (E)Arithmetic Progression
The first term of an A.P. of non-negative terms is . If the sum of this A.P. is the cube of its last term, then its common difference is:04 Apr, 2026 (M)Arithmetic Progression
Let be the set of first 101 terms of an A.P., whose first term is 1 and the common difference is 5 and let be the set of first 71 terms of a02 Apr, 2026 (M)Arithmetic Progression
Let be an A.P. and be an increasing G.P. If and , then is equal to:02 Apr, 2026 (E)Arithmetic Progression